ON EV-DEGREE AND VE-DEGREE BASED TOPOLOGICAL PROPERTIES OF THE SIERPIŃSKI GASKET FRACTAL
In chemistry, pharmacology, medicine and physics molecular graphs have been used to model molecular substances, networks and fractals. Topological indices have been derived from the molecular graphs of chemical compounds, networks and fractals. Topological indices are important tools to analyze the underlying topology of fractals. Many topological indices have been used to understand and to investigate mathematical properties of fractal models. The Sierpiński gasket fractal is important for the study of fractals. Some physical properties of these type fractals were investigated by some researchers. Also certain topological indices of the Sierpiński gasket fractal have been calculated recently. Ve-degree and Ev-degree concepts have been defined recently in graph theory. Ev-degree and Ve-degree topological indices have been defined by using their corresponding classical degree based topological indices. In this study we calculate ev-degree and ve-degree topological indices for the Sierpiński gasket fractal.
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- [1] Mandelbrot BB. The Fractal Geometry of Nature. San Francisco, CA, USA: W.H. Freeman and Company, 1982.
- [2] Ali, A.; Rafique, H.; Arshad, T.; Alqarni, M. A.; Chauhdary, S. H.; Bashir, A. K. A Fractal-Based Authentication Technique Using Sierpiński Triangles in Smart Devices. Sensors 2019, 19(3), 678.
- [3] Jiang, Z.; Yan, W. Some Two-Point Resistances of the Sierpiński Gasket Network. Journal of Statistical Physics 2018, 172(3), 824-832.
- [4] Saltan, M.; Aslan, N.; Demir, B. A discrete chaotic dynamical system on the Sierpiński gasket. Turkish Journal of Mathematics 2019, 43(1), 361-372.
- [5] Gu, Q.; Lau, K. S.; Qiu, H. On a recursive construction of Dirichlet form on the Sierpiński gasket. Journal of Mathematical Analysis and Applications 2019, 474(1), 674-692.
- [6] Wang, Q.; Li, J. L. There are eight‐element orthogonal exponentials on the spatial Sierpiński gasket. Mathematische Nachrichten 2019, 292(1), 211-226.
- [7] Chellali, M.; Haynes, T. W.; Hedetniemi, S. T.; Lewis, T. M. On ve-degrees and ev-degrees in graphs. Discrete Mathematics 2017, 340(2), 31-38.
- [8] Ediz, S. Predicting Some Physicochemical Properties of Octane Isomers: A Topological Approach Using ev-Degree and ve-Degree Zagreb Indices. International Journal of Systems Science and Applied Mathematics 2017, 2(5), 87-92.
- [9] Ediz, S. A New Tool for QSPR Researches: ev-degree Randić Index. Celal Bayar Journal of Science 2017, 13(3), 615-618.
- [10] Ediz, S. On ve-degree molecular topological properties of silicate and oxygen networks. International Journal of Computing Science and Mathematics 2018,. 9( 1), 1-12.
- [11] Sahin, B.; Ediz, S.On ev-degree and ve-degree topological indices. Iranian Journal of Mathematical Chemistry 2018, 9(4), 263-277.
- [12] Chen, J.; He, L.; Wang, Q. Eccentric distance sum of Sierpiński gasket and Sierpiński network. Fractals 2019, 1950016.
- ISSN: 1304-7191
- Yayın Aralığı: Yılda 4 Sayı
- Yayıncı: Yıldız Teknik Üniversitesi